The regress of reasons threatens an epistemic agent’s right to claim that any beliefs are justified. In response, Peter Klein’s infinitism argues that an infinite series of supporting reasons of the right type not only is not vicious but can make for epistemic justification. In order to resist the sceptic, infinitism needs to provide reason to think that there is at least one justified belief in the world. Under an infinitist conception this involves showing that at least one belief is (...) supported by an infinite series of supporting reasons. This paper argues that showing this makes problems for the infinitist. The finite minds problem that prevents completion of an infinite series is well documented. This paper examines alternative attempts to provide evidence of infinity that the infinitist might take, whether by using a notion of justification without infinite reasons or by altering the notion of evidence. It concludes that both of these fail and consequently infinitism is unable to offer a solution to Agrippa’s trilemma. (shrink)

Foley and Turri have recently given objections to the defeasibility theory of propositional knowledge. Here, I give an objection of a quite different stripe by looking at what the theory must say about knowing that you know. I end with some remarks on how this objection relates to rival theories and how this might be a worry for some of these.

It is generally thought that knowledge is incompatible with epistemic luck as the post‐Gettier literature makes it abundantly clear. Examples are produced where although a belief is true and justified, it nevertheless falls short of being an instance of knowledge because of the intrusion of luck. Knowledge is regarded as being distinct from lucky guesses. It is, nevertheless, acknowledged by a number of epistemologists that some kind of luck is in fact an inevitable component of the process of knowledge acquisition. (...) In this paper I wish to delineate varieties of epistemic luck in the light of the Gettier literature, and specify the kind that should be tolerated in the process of acquiring knowledge. To do this, it would be best to start by examining some of the recent attempts at analyzing the concept of luck and its bearing on the concept of knowledge. (shrink)

It is generally thought that knowledge is incompatible with epistemic luck as the post‐Gettier literature makes it abundantly clear. Examples are produced where although a belief is true and justified, it nevertheless falls short of being an instance of knowledge because of the intrusion of luck. Knowledge is regarded as being distinct from lucky guesses. It is, nevertheless, acknowledged by a number of epistemologists that some kind of luck is in fact an inevitable component of the process of knowledge acquisition. (...) In this paper I wish to delineate varieties of epistemic luck in the light of the Gettier literature, and specify the kind that should be tolerated in the process of acquiring knowledge. To do this, it would be best to start by examining some of the recent attempts at analyzing the concept of luck and its bearing on the concept of knowledge. (shrink)

Is knowledge justified true belief? Most philosophers believe that the answer is clearly ‘no’, as demonstrated by Gettier cases. But Gettier cases don’t obviously refute the traditional view that knowledge is justified true belief (JTB). There are ways of resisting Gettier cases, at least one of which is partly successful. Nevertheless, when properly understood, Gettier cases point to a flaw in JTB, though it takes some work to appreciate just what it is. The nature of the flaw helps us better (...) understand the nature of knowledge and epistemic justification. I propose a crucial improvement to the traditional view, relying on an intuitive and independently plausible metaphysical distinction pertaining to the manifestation of intellectual powers, which supplements the traditional components of justification, truth and belief. (shrink)

In this paper I will compare two competing accounts of assertion: the knowledge account and the justified belief account. When it comes to the evidence that is typically used to assess accounts of assertion – including the evidence from lottery propositions, the evidence from Moore’s paradoxical propositions and the evidence from conversational patterns – I will argue that the justified belief account has at least as much explanatory power as its rival. I will argue, finally, that a close look at (...) the ways in which assertions can be challenged and retracted reveals a certain advantage for the justified belief account. The paper will touch upon a number of further topics along the way, including the logical interaction between knowledge and justified belief, the nature of defeat, and the hypothesis that knowledge and justified belief are normatively coincident goals. (shrink)

We propose a new topological semantics for evidence, evidence-based justifications, belief, and knowledge. Resting on the assumption that an agent’s rational belief is based on the available evidence, we try to unveil the concrete relationship between an agent’s evidence, belief, and knowledge via a rich formal framework afforded by topologically interpreted modal logics. We prove soundness, completeness, decidability, and the finite model property for the associated logics, and apply this setting to analyze key epistemological issues such as “no false lemma” (...) Gettier examples, misleading defeaters, undefeated justification versus undefeated belief, as well as the defeasibility theories of knowledge. (shrink)

Reasons, it is often said, are king in contemporary normative theory. Some philosophers say not only that the vocabulary of reasons is useful, but that reasons play a fundamental explanatory role in normative theory—that many, most, or even all, other normative facts are grounded in facts about reasons. Even if reasons fundamentalism, the strongest version of this view, has only been wholeheartedly endorsed by a few philosophers, it has a kind of prominence in contemporary normative theory that suits it to (...) be described as orthodoxy by its critics. It is the purpose of this paper to make progress toward understanding what appeal Reasons Fundamentalism should have, and whether that appeal is deserved. I will do so by exploring and comparing two central motivations for Reasons Fundamentalism. (shrink)

Is it harder to acquire knowledge about things that really matter to us than it is to acquire knowledge about things we don't much care about? Jason Stanley 2005 argues that whether or not the relational predicate 'knows that' holds between an agent and a proposition can depend on the practical interests of the agent: the more it matters to a person whether p is the case, the more justification is required before she counts as knowing that p. The evidence (...) for Stanley's thesis includes a number of intuitive judgments about examples. In this paper we provide parallel examples for which Stanley's thesis requires unwelcome knowledge-attributions, and argue that this is possible because his thesis conflicts with familiar and plausible principles about knowledge. (shrink)

In this paper I discuss the relation between various properties that have been regarded as important for determining whether or not a belief constitutes a piece of knowledge: its stability, strength and sensitivity to truth, as well as the strength of the epistemic position in which the subject is with respect to this belief. Attempts to explicate the relevant concepts more formally with the help of systems of spheres of possible worlds (à la Lewis and Grove) must take care to (...) keep apart the very different roles that systems of spheres can play. Nozicks sensitivity account turns out to be closer to the stability analysis of knowledge (versions of which I identify in Plato, Descartes, Klein and Lehrer) than one might have suspected. (shrink)

The Gettier Problem (henceforth GP) is a milestone in contemporary epistemology. Half a century after the philosophical earthquake caused by the well-known Gettier article (1963), solutions continue to appear and the discussion resurfaces. Because we, like many, choose to adopt an optimistic stance towards the possibility of finding a plausible answer to the GP, in this paper we present an unconventional solution to solve it. Crucially, we argue that the only plausible and non-falsifiable definition of the propositional knowledge is the (...) one given by an “open” formula that contains a placeholder or a “variable” – on the third necessary condition – which takes a value according to which, depending on the circumstances, is necessary and sufficient for epistemic success. (shrink)

Although recent epistemology has been marked by several prominent disagreements – e.g., between foundationalists and coherentists, internalists and externalists – there has been widespread agreement that some form of fallibilism must be correct. According to a rough formulation of this view, it is possible for a subject to have knowledge even in cases where the justification or grounding for the knowledge is compatible with the subject’s being mistaken. In this paper, I examine the motivation for fallibilism before providing a fully (...) general account of the view. I conclude by looking at the two major difficulties for fallibilism: the Gettier problem and the lottery paradox. (shrink)

Here I will develop a naturalistic account of epistemic reflection and its significance for epistemology. I will first argue that thought, as opposed to mere information processing, requires a capacity for cognitive self-regulation. After discussing the basic capacities necessary for cognitive self-regulation of any kind, I will consider qualitatively different kinds of thought that can emerge when the basic capacities enable the creature to interiorize a form of social cooperation. First, I will discuss second-personal cooperation and the kind of thought (...) that emerges from its interiorization. Then, I will discuss third-personal cooperation and the kind of thought that emerges from its interiorization. We will see that epistemic reflection is the interiorized version of interpersonal argumentation, which is the epistemic component of third-personal cooperation. In developing this account, I will draw heavily on the work of Michael Tomasello and other cognitive scientists advocating the “social intentionality hypothesis”. However, I will show how work done in the defeasible reasoning tradition can provide us with a deeper explanation of some claims made by advocates of the social intentionality hypothesis. Additionally, we will see that work done on social intentionality can help us better understand the significance of knowledge and justification as understood by the defeasible reasoning tradition. We will see that the social intentionality hypothesis and the defeasible reasoning tradition are mutually illuminating. By drawing equally on both, I will provide a novel account of the foundations of knowledge. (shrink)

Reasons rationalize beliefs. Reasons, when all goes well, turn true beliefs into knowledge. I am interested in the relationship between these aspects of reasons. Without a proper understanding of their relationship, the theory of knowledge will be less illuminating than it ought to be. I hope to show that previous accounts have failed to account for this relationship. This has resulted in a tendency to focus on justification rather than knowledge. It has also resulted in many becoming skeptical about the (...) prospects for an analysis of knowledge. The skepticism is misplaced and the tendency can be fixed without sacrificing any insights. The solution is to see how good reasons (in a sense to be articulated) are apparent (in a sense to be articulated) to the knowing subject. Once this claim is unpacked, we see that it is an illuminating analysis of knowledge in terms of distinct but intimately related aspects of epistemic assessment. It helps us see the value of knowledge (over and above true belief) and it affords us a unified, “reasons-first” metaepistemology. The resulting picture is neither a familiar kind of internalism or externalism. (shrink)

I will discuss a variety of cases such that the subject's believing truly is somewhat of an accident, but less so than in a Gettier case. In each case, this is because her reasons are not ultimately undefeated full stop, but they are ultimately undefeated with certain qualifications. For example, the subject's reasons might be ultimately defeated considered in themselves but ultimately undefeated considered as a proper part of an inference to the best explanation that is undefeated without qualification. In (...) each section of the paper, I consider different qualifications and show how in each case we get an epistemic standing I call “coach-class knowledge”. First-class knowledge requires justifying reasons that are undefeated without qualification. Coach-class knowledge only requires qualified lack of defeat. I will use this distinction to bring debates over knowledge from falsehood and fake barns to an ecumenical resolution. In both cases, the subject enjoys coach-class rather than first-class knowledge. I will also show that the defeasible reasoning tradition can better account for graded accidental truth than safety theories. (shrink)

Evolutionary debunking arguments claim that evolution has influenced our moral faculties in such a way that, if moral realism is true, then we have no positive moral knowledge. I present several popular objections to the standard version of this argument, then give a new EDA that has clear advantages in responding to these objections. Whereas the Standard EDA argues that evolution has selected for many moral beliefs with certain contents, this New EDA claims that evolution has selected for one belief: (...) belief in the claim that categorical reasons exist. If moral realism is true, then this claim is entailed by all positive moral claims, and belief in it is defeated due to evolutionary influence. This entails that if realism is true, then we have no positive moral knowledge. While there may be objections against this New EDA, it is much stronger than the Standard EDA, and one realists ought to worry about. (shrink)

I argue against traditional virtue epistemology on which knowledge is a success due to a competence to believe truly, by revealing an in-principle problem with the traditional virtue epistemologist’s explanation of Gettier cases. The argument eliminates one of the last plausible explanation of Gettier cases, and so of knowledge, in terms of non-factive mental states and non-mental conditions. I then I develop and defend a different kind of virtue epistemology, on which knowledge is an exercise of a competence to know. (...) I show how the account, while circular, is not viciously so. It explains both how knowledge is a mental state, as well as the relationship between knowledge and justification, including justified false beliefs and Gettier cases. Moreover, although direct virtue epistemology is compatible with many views on the nature of belief, it can explain how knowledge might be metaphysically more fundamental than belief as well. (shrink)

The principle of Counter-Closure embodies the widespread view that when a proposition is believed solely as the conclusion of single-premise deduction, it can be known only if the premise is also known. I raise a problem for the compatibility of Jason Stanley's Interest-Relative Invariantism (IRI) with Counter-Closure. I explore the landscape of options that might help Stanley resolve this tension and argue that a trilemma confronts Stanley: he must either (i) renounce a key intuition that lies at the foundation of (...) his view; or (ii) admit into his epistemology an IRI-specific novel brand of Gettier case; or (iii) abandon Counter-Closure. (shrink)

This paper proposes a logical framework for representing static and dynamic properties of different kinds of individual and collective attitudes. A complete axiomatization as well as a decidability result for the logic are given. The logic is applied to game theory by providing a formal analysis of the epistemic conditions of iterated deletion of weakly dominated strategies (IDWDS), or iterated weak dominance for short. The main difference between the analysis of the epistemic conditions of iterated weak dominance given in this (...) paper and other analysis is that we use a semi-qualitative approach to uncertainty based on the notion of plausibility first introduced by Spohn, whereas other analysis are based on a quantitative representation of uncertainty in terms of probabilities. (shrink)

Antognazza (“The Benefit to Philosophy”, “The Distinction in Kind”), Dutant (“The Legend”), and I (“Knowledge Before Gettier”) have argued for the historical falsity of the claim that, prior to Gettier’s famous counterexamples of sixty years ago, the so-called ‘traditional’ conception of knowledge was the justified true belief (JTB) conception. This note addresses a related historical question that, rather surprisingly, has not yet been addressed in the philosophical literature; to wit: when did this claim first appear in this literature?

One of the central problems afflicting reductionism in the epistemology of testimony is the apparent fact that infants and small children are not cognitively capable of having the inductively based positive reasons required by this view. Since non-reductionism does not impose a requirement of this sort, it is thought to avoid this problem and is therefore taken to have a significant advantage over reductionism. In this paper, however, I argue that if this objection undermines reductionism, then a variant of it (...) similarly undermines non-reductionism. Thus, considerations about the cognitive capacities of infants and small children do not effectively discriminate between these two competing theories of testimonial justification. (shrink)

It is widely assumed that memory has only the capacity to preserve epistemic features that have been generated by other sources. Specifically, if S knows (justifiedly believes/rationally believes) that p via memory at T2, then it is argued that (i) S must have known (justifiedly believed/rationally believed) that p when it was originally acquired at Tl, and (ii) S must have acquired knowledge that p (justification with respect to p/rationality with respect to p) at Tl via a non-memorial source. Thus, (...) according to this view, memory cannot make an unknown proposition known, an unjustified belief justified, or an irrational belief rational--it can only preserve what is already known, justified, or rational. In this paper, I argue that condition (i) is false and, a fortiori, that condition (ii) is false. Hence, I show that, contrary to received wisdom in contemporary epistemology, memory can function as a generative epistemic source. (shrink)

There is a widely accepted family of views in the epistemology of testimony centering around the claim that belief is the central item involved in a testimonial exchange. For instance, in describing the process of learning via testimony, Elizabeth Fricker provides the following: “one language-user has a belief, which gives rise to an utterance by him; as a result of observing this utterance another user of the same language, his audience, comes to share that belief.” In a similar spirit, Alvin (...) Plantinga says that “…a belief on the part of the testifiee has warrant only if that belief has warrant for the testifier.” In both of these passages, we find strands of what I shall call the Belief View of Testimony. (shrink)

The Gettier problem has stymied epistemologists. But, whether or not this problem is resolvable, we still must face an important question: Why does the Gettier problem arise in the first place? So far, philosophers have seen it as either a problem peculiar to the concept of knowledge, or else an instance of a general problem about conceptual analysis. But I would like to steer a middle course. I argue that the Gettier problem arises because knowledge is a thick concept, and (...) a Gettier-like problem is just what we should expect from attempts at analyzing a thick concept. Section 2 is devoted to establishing the controversial claim that knowledge is thick, and, in Sect. 3, I show that there is a general problem for analyzing thick concepts of which the Gettier problem is a special instance. I do not take a stand on whether the Gettier problem, or its general counterpart, is resolvable. My primary aim is to bring these problems into better focus. (shrink)

Moore’s paradox supports the principle of “metacoherence”, i.e., that if one categorically believes that P, one is committed to accepting that one knows that P. The principle raises puzzles about how, when one has justification for P, one also has justification for the claim that one knows P. I reject a skeptical answer as well as a bootstrapping answer, and I suggest that we typically have independent justification for the claim that we know P.

Trenton Merricks argues that on any reasonable account, warrant must entailtruth. I demonstrate three theses about the properties ofwarrant: (1) Warrant is not unique;there are many properties that satisfy the definition of warrant. (2) Warrant need not entail truth; there are some warrant properties that entailtruthand others that do not. (3) Warrant need not be closed under entailment, even if knowledge is. If knowledge satisfies closure, then some warrant properties satisfy closure while others do not;if knowledge violates closure, then allwarrant (...) properties violate closure. (shrink)

Seven proposed accounts of epistemic possibility are criticized, and a new account is proposed, making use of the notion of having justification for dismissing a proposition. The new account explains intuitions about otherwise puzzling cases, upholds plausible general principles about epistemic possibility, and explains the practical import of epistemic modality judgements. It is suggested that judgements about epistemic possibility function to assess which propositions are worthy of further inquiry.

The focus of this paper is the prima facie plausible view, expressed by the principle of Counter-Closure, that knowledge-yielding competent deductive inference must issue from known premises. I construct a case that arguably falsifies this principle and consider five available lines of response that might help retain Counter-Closure. I argue that three are problematic. Of the two remaining lines of response, the first relies on non-universal intuitions and forces one to view the case I construct as exhibiting a justified, true (...) belief to which none of the usual diagnoses of knowledge failure in Gettier cases apply. The second line involves claiming that Fake Barns and its ilk are misdiagnosed by epistemological orthodoxy as Gettier cases. We are thus confronted by a trilemma: either the case I discuss undermines the first-blush plausible principle of Counter-Closure; or the case I discuss instantiates a novel kind of Gettier case; or a popular conception of a key range of alleged Gettier cases must be rejected. No matter which horn we choose, the case points to a philosophically curious conclusion. (shrink)

In this article, I develop and defend a version of reliabilism – internal reasons reliabilism – that resolves the paradox of epistemic luck, solves the Gettier problem by ruling out veritic luck, is immune to the generality problem, resolves the internalism/externalism controversy, and preserves epistemic closure.

There is a traditional conception of knowledge but it is not the Justified True Belief analysis Gettier attacked. On the traditional view, knowledge consists in having a belief that bears a discernible mark of truth. A mark of truth is a truth-entailing property: a property that only true beliefs can have. It is discernible if one can always tell that a belief has it, that is, a sufficiently attentive subject believes that a belief has it if and only if it (...) has it. Requiring a mark of truth makes the view infallibilist. Requiring it to be discernible makes the view internalist. I call the view Classical Infallibilism. (shrink)

Many have the intuition that the right response to the Lottery Paradox is to deny that one can justifiably believe of even a single lottery ticket that it will lose. The paper shows that from any theory of justification that solves the paradox in accordance with this intuition, a theory not of that kind can be derived that also solves the paradox but is more conducive to our epistemic goal than the former. It is argued that currently there is no (...) valid reason not to give preference to the derived accounts over the accounts from which they come. (shrink)

For some of us, the defeasibility theory of knowledge remains the most plausible approach to the Gettier Problem. Epistemological fashion and faded memories notwithstanding, persuasive objections to the theory are very hard to find. The most impressive of those objections to the theory that have hitherto gone unanswered are examined and rejected here. These are objections put forward by Richard Feldman, Richard Foley, and John Turri. While these are all interesting, the objection recently put forward by Turri is, we think, (...) by far, the most serious threat to the theory that we have seen in a long time. A successful reply to it requires a surprising amount of care, as it turns out. If tenable, Turri's objection deals a devastating blow to the theory developed by Roderick Chisholm, Keith Lehrer, Peter Klein, Marshall Swain, Risto Hilpinen, John Pollock, and Paul Moser, among others. Under scrutiny, however, the threat proves illusory. It results from inattention to a crucial, but relatively subtle, aspect of.. (shrink)

Como posso estar certo de que existe qualquer coisa de externa aos meus próprios pensamentos? Muitos filósofos procuraram ou apresentar uma prova da existência do mundo externo, ou rejeitar a inteligibilidade da própria ideia de uma “prova” nesse contexto. O objetivo desse artigo é mostrar que o denominado “problema do mundo externo” decorre de uma má compreensão acerca do que seja justificativa epistêmica. Apresento o que denomino “paradoxo de Berkeley” de modo a mostrar que o uso ordinário da linguagem não (...) deve funcionar como critério de correção para a aplicação de conceitos como conhecimento e existência. Concluo que tanto as tentativas tradicionais de se apresentar uma prova da existência do mundo externo quanto as tentativas de se mostrar que o problema não faz sentido são equivocadas. O que deve ser levado em conta no exame do problema do mundo externo é o contexto em que a proposta cética é feita. (shrink)

Interest-relative invariantism is the view that practical interests encroach upon knowledge. In other words, the more that is at stake for S, the harder it is for her true belief to be an instance of knowledge. Russell and Doris argue that IRI theorists are committed to indifference being knowledge-making feature of IRI, where knowledge comes easier for subjects the less they care. In this paper, I explain why indifference cases are problematic and which assumptions about IRI generate them. I then (...) argue IRI theorists can immunize themselves from indifference problems by grounding practical interests in either Aristotelianism or a restricted form of Humeanism, both of which link practical interests to some conception of well-being. I then argue that besides solving indifference problems, these approaches present a reasonable conception of practical interests, while also saving IRI theorists from abandoning plausible theses about knowledge. (shrink)

Anti-luck epistemologists tell us that knowledge is incompatible with epistemic luck and that epistemic luck is just a special case of luck in general. Much work has been done on the intricacies of the first claim. In this paper, I scrutinize the second claim. I argue that it does not survive scrutiny. I then offer an analysis of luck that explains the relevant data and avoids the problems from which the current views of luck suffer. However, this analysis of luck (...) is of no help to the anti-luck epistemologist for it uses knowledge to explain luck, making this account of knowledge circular. The main lesson is that the only viable analysis of luck is not suited for the anti-luck epistemologist's coveted noncircular analysis of knowledge. (shrink)

Many contemporary epistemologists hold that a subject S’s true belief that p counts as knowledge only if S’s belief that p is also, in some important sense, safe. I describe accounts of this safety condition from John Hawthorne, Duncan Pritchard, and Ernest Sosa. There have been three counterexamples to safety proposed in the recent literature, from Comesaña, Neta and Rohrbaugh, and Kelp. I explain why all three proposals fail: each moves fallaciously from the fact that S was at epistemic risk (...) just before forming her belief to the conclusion that S’s belief was formed unsafely. In light of lessons from their failure, I provide a new and successful counterexample to the safety condition on knowledge. It follows, then, that knowledge need not be safe. Safety at a time depends counterfactually on what would likely happen at that time or soon after in a way that knowledge does not. I close by considering one objection concerning higher-order safety. (shrink)

In recent work, Stalnaker proposes a logical framework in which belief is realized as a weakened form of knowledge. Building on Stalnaker’s core insights, we employ topological tools to refine and, we argue, improve on this analysis. The structure of topological subset spaces allows for a natural distinction between what is known and what is knowable; we argue that the foundational axioms of Stalnaker’s system rely intuitively on both of these notions. More precisely, we argue that the plausibility of the (...) principles Stalnaker proposes relating knowledge and belief relies on a subtle equivocation between an “evidence-in-hand” conception of knowledge and a weaker “evidence-out-there” notion of what could come to be known. Our analysis leads to a trimodal logic of knowledge, knowability, and belief interpreted in topological subset spaces in which belief is definable in terms of knowledge and knowability. We provide a sound and complete axiomatization for this logic as well as its uni-modal belief fragment. We then consider weaker logics that preserve suitable translations of Stalnaker’s postulates, yet do not allow for any reduction of belief. We propose novel topological semantics for these irreducible notions of belief, generalizing our previous semantics, and provide sound and complete axiomatizations for the corresponding logics. (shrink)

Epistemologists focus primarily on cases of knowledge, belief, or credence where the evidence which one possesses, or on which one is relying, plays a fundamental role in the epistemic or normative status of one's doxastic state. Recent work in epistemology goes beyond the evidence one possesses to consider the relevance for such statuses of evidence which one does not possess, particularly when there is a sense in which one should have had some evidence. I focus here on Sanford Goldberg's approach (...) ("Should Have Known," Synthese, forthcoming; and "On the Epistemic Significance of Evidence You Should Have Had," Episteme 2016, this issue); but the discussion will interest anyone working on epistemic defeat. (shrink)

Stalnaker, 169–199 2006) introduced a combined epistemic-doxastic logic that can formally express a strong concept of belief, a concept of belief as ‘subjective certainty’. In this paper, we provide a topological semantics for belief, in particular, for Stalnaker’s notion of belief defined as ‘epistemic possibility of knowledge’, in terms of the closure of the interior operator on extremally disconnected spaces. This semantics extends the standard topological interpretation of knowledge with a new topological semantics for belief. We prove that the belief (...) logic KD45 is sound and complete with respect to the class of extremally disconnected spaces and we compare our approach to a different topological setting in which belief is interpreted in terms of the derived set operator. We also study belief revision as well as belief dynamics by providing a topological semantics for conditional belief and belief update modalities, respectively. Our setting based on extremally disconnected spaces, however, encounters problems when extended with dynamic updates. We then propose a solution consisting in interpreting belief in a similar way based on hereditarily extremally disconnected spaces, and axiomatize the belief logic of hereditarily extremally disconnected spaces. Finally, we provide a complete axiomatization of the logic of conditional belief and knowledge, as well as a complete axiomatization of the corresponding dynamic logic. (shrink)

Two common theses in contemporary epistemology are that ‘knowledge excludes luck’ and that knowledge depends on ‘purely epistemic’ factors. In this essay, I shall argue as follows: given some plausible assumptions, ‘anti-luck epistemology,’ which is committed to the fi rst thesis, implies the falsity of the second thesis. That is, I will argue that anti-luck epistemology leads to what has been called ‘pragmatic encroachment’ on knowledge. Anti-luck epistemologists hoping to resist encroachment must accept a controversial thesis about true belief or (...) a dubious claim about luck and value and interests. (shrink)

Many epistemologists are enamored with a defeat condition on knowledge. In this paper we present some implementation problems for defeatism, understood along either internalist or externalist lines. We then propose that one who accepts a knowledge norm of belief, according to which one ought to believe only what one knows, can explain away much of the motivation for defeatism. This is an important result, because on the one hand it respects the plausibility of the intuitions about defeat shared by many (...) in epistemology; but on the other hand, it obviates the need to provide a unified account of defeat which plays well with the most plausible views of how knowledge fits with evidential probability. (shrink)